Information on Result #547435
There is no linear OA(4245, 395, F4, 176) (dual of [395, 150, 177]-code), because residual code would yield OA(469, 218, S4, 44), but
- the linear programming bound shows that M ≥ 109109 147274 768315 990931 948474 366203 066087 657712 317992 394776 862369 613323 594430 467474 878725 704856 371200 / 292745 629447 360691 756384 897898 834188 795527 737754 030331 320673 > 469 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(4246, 396, F4, 177) (dual of [396, 150, 178]-code) | [i] | Truncation | |
| 2 | No linear OA(4247, 397, F4, 178) (dual of [397, 150, 179]-code) | [i] | ||
| 3 | No linear OA(4248, 398, F4, 179) (dual of [398, 150, 180]-code) | [i] | ||
| 4 | No linear OOA(4246, 395, F4, 2, 177) (dual of [(395, 2), 544, 178]-NRT-code) | [i] | m-Reduction for OOAs | |
| 5 | No linear OOA(4247, 395, F4, 2, 178) (dual of [(395, 2), 543, 179]-NRT-code) | [i] | ||
| 6 | No linear OOA(4248, 395, F4, 2, 179) (dual of [(395, 2), 542, 180]-NRT-code) | [i] | ||
| 7 | No linear OOA(4245, 395, F4, 2, 176) (dual of [(395, 2), 545, 177]-NRT-code) | [i] | Depth Reduction | |
| 8 | No linear OOA(4245, 395, F4, 3, 176) (dual of [(395, 3), 940, 177]-NRT-code) | [i] | ||
| 9 | No digital (69, 245, 395)-net over F4 | [i] | Extracting Embedded Orthogonal Array | |